Answer:
How far did the ship travel between the two observations of the lighthouse = 9.29
Step-by-step explanation:
the first step to answer this question is drawing the illustration as the attachment.
P is the ship, R is the light house and Q is the bearing.
PR is the distance between the ship and the light house, PR = 10.5
∠P = 42.8°, ∠Q = 59.7°
Thus, ∠R = 180° - ∠P - ∠Q
= 180° - 42.8°- 59.7°
= 77.5°
PQ is the the distance of the ship moving. We can use the sinus equation
= 
= 
PQ = (
)(sin 59.7°)
= 9.29
Negative 4 is less than negative 1
1078 / (5+6) = 98
Like - 5 x 98 = 490
Dislike - 6 x 98 = 588
1 5/8 = 13/8
(13/8)/14 = .116 or 13/112
.116 (26) = 3.016 or 169/56
Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
